PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Answer:
D) [tex]y=(x-3)^2-3[/tex]
Step-by-step explanation:
The first step is to find the vertex.
Start with getting your coefficients:
a = 1, b = -6, c = 6
plug them into the equation [tex]x = -b/2a[/tex]
[tex]6/2[/tex]
[tex]x = 3[/tex]
Plug that back into the original equation to get y = -3
The vertex is going to be (3, -3)
The equation for Vertex Form is given by [tex]f (x) = a(x - h)^2 + k[/tex]
(a) being the coefficient in front of the [tex]x^2[/tex]
(h) being the first point on the vertex (h,k) ({3},-3)
(k) being the second point on the vertex (h,k) (3,{-3})
[tex]y=(x-3)^2-3[/tex]
Answer:
d y = (x-3) ^2 -3
Step-by-step explanation:
y = x^2 -6x+6
Complete the square to help find the vertex form
b= -6
b^2/2 = (-6/2) ^2 = (-3)^2 =9
We need to add 9 (and then subtract 9)
y = x^2 -6x +9+6 -9
y = (x^2 -6x +9)-3
We know that (x-b/2) ^2 is what we have now
y = (x-3) ^2 -3